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Finding the Fourth Proportional to 12,980.22, 17,912.72 and 7,011.90

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Solution

The fourth proportional to 12,980.22, 17,912.72 and 7,011.90 is: 9,676.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,980.22 : 17,912.72 = 7,011.90 : x
  2. Step 2: Convert to fraction form
    12,980.22/17,912.72 = 7,011.90/x
  3. Step 3: Cross multiply
    12,980.22x = 17,912.72 × 7,011.90
  4. Step 4: Simplify right side
    12,980.22x = 125,602,201.37
  5. Step 5: Solve for x
    x = 125,602,201.37/12,980.22
  6. Step 6: Final answer
    x = 9,676.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.